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Abstract:
We consider the universal logarithmic divergent term in the entanglement
entropy of gauge fields in the Minkowski vacuum with an entangling sphere.
Employing the mapping in arXiv:1102.0440, we analyze the corresponding thermal
entropy on open Einstein universe and on the static patch of de Sitter. Using
the heat kernel of the vector Laplacian we resolve a discrepancy between the
free field calculation and the expected Euler conformal anomaly. The resolution
suggests a modification of the well known formulas for the vacuum expectation
value of the spin-1 energy-momentum tensor on conformally flat space-times.